Jubilismic clan: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 497311818 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 602409472 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User: | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-17 12:00:05 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>602409472</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt></tt><br> | ||
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">[[toc]] | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">[[toc]] | ||
The **Jubilismic clan** tempers out the jubilisma, [[50_49|50/49]], which means [[7_5|7/5]] and [[10_7|10/7]] are identified and the [[octave]] is divided in two. Doublewide, lemba and diminished are discussed below; others in the clan are pajara, decimal, injera, octokaidecal, hedgehog, bipelog and hexe, which are discussed elsewhere. | |||
The **Jubilismic clan** tempers out the jubilisma, [[50_49|50/49]], which means [[7_5|7/5]] and [[10_7|10/7]] are identified and the [[octave]] is divided in two. Doublewide lemba and diminished are discussed below; others in the clan are pajara, decimal, injera, octokaidecal, hedgehog, bipelog and hexe, which are discussed elsewhere. | |||
No-threes [[POTE tuning|POTE generator]]: 380.840 | No-threes [[POTE tuning|POTE generator]]: 380.840 | ||
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EDOs: [[10edo|10]], [[12edo|12]], [[16edo|16]], [[22edo|22]], [[104edo|104]] | EDOs: [[10edo|10]], [[12edo|12]], [[16edo|16]], [[22edo|22]], [[104edo|104]] | ||
=Diminished= | =Diminished= | ||
Commas: 36/35, 50/49 | Commas: 36/35, 50/49 | ||
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Badness: 0.0224 | Badness: 0.0224 | ||
==11-limit== | ==11-limit== | ||
Commas: 36/35, 50/49, 56/55 | Commas: 36/35, 50/49, 56/55 | ||
| Line 33: | Line 32: | ||
Badness: 0.0221 | Badness: 0.0221 | ||
==13-limit== | ==13-limit== | ||
Commas: 36/35, 40/39, 50/49, 66/65 | Commas: 36/35, 40/39, 50/49, 66/65 | ||
| Line 42: | Line 41: | ||
Badness: 0.0195 | Badness: 0.0195 | ||
==Demolished== | ==Demolished== | ||
Commas: 36/35, 45/44, 50/49 | Commas: 36/35, 45/44, 50/49 | ||
| Line 51: | Line 50: | ||
Badness: 0.0266 | Badness: 0.0266 | ||
==Hemidim== | ==Hemidim== | ||
Commas: 36/35, 50/49, 125/121 | Commas: 36/35, 50/49, 125/121 | ||
POTE generator: | POTE generator: ~12/11 = 101.679 | ||
Map: [<4 1 4 6 6|, <0 2 2 2 3|] | Map: [<4 1 4 6 6|, <0 2 2 2 3|] | ||
| Line 60: | Line 59: | ||
Badness: 0.0550 | Badness: 0.0550 | ||
=Doublewide= | =Doublewide= | ||
Commas: 50/49, 875/864 | Commas: 50/49, 875/864 | ||
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Badness: 0.0435 | Badness: 0.0435 | ||
==11-limit== | ==11-limit== | ||
Commas: 50/49, 99/98, 875/864 | Commas: 50/49, 99/98, 875/864 | ||
| Line 78: | Line 77: | ||
Badness: 0.0321 | Badness: 0.0321 | ||
==Fleetwood== | ==Fleetwood== | ||
Commas: 50/49, 55/54, 176/175 | Commas: 50/49, 55/54, 176/175 | ||
| Line 87: | Line 86: | ||
Badness: 0.0352 | Badness: 0.0352 | ||
===13-limit=== | ===13-limit=== | ||
Commas: 50/49, 55/54, 65/63, 176/175 | Commas: 50/49, 55/54, 65/63, 176/175 | ||
| Line 96: | Line 95: | ||
Badness: 0.0318 | Badness: 0.0318 | ||
==Cavalier== | ==Cavalier== | ||
Commas: 45/44, 50/49, 875/864 | Commas: 45/44, 50/49, 875/864 | ||
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Badness: 0.0529 | Badness: 0.0529 | ||
===13-limit=== | ===13-limit=== | ||
Commas: 45/44 50/49 78/77 325/324 | Commas: [[tel:45/44 50/49 78|45/44 50/49 78]]/77 325/324 | ||
POTE generator: ~6/5 = 323.396 | POTE generator: ~6/5 = 323.396 | ||
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Badness: 0.0350 | Badness: 0.0350 | ||
=Lemba= | =Lemba= | ||
Commas: 50/49, 525/512 | Commas: 50/49, 525/512 | ||
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Badness: 0.0622 | Badness: 0.0622 | ||
==11-limit== | ==11-limit== | ||
Commas: 45/44, 50/49, 385/384 | Commas: 45/44, 50/49, 385/384 | ||
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Badness: 0.0416 | Badness: 0.0416 | ||
==13-limit== | ==13-limit== | ||
Commas: 45/44, 50/49, 65/64, 78/77 | Commas: 45/44, 50/49, 65/64, 78/77 | ||
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Badness: 0.0255 | Badness: 0.0255 | ||
=Vigintiduo= | =Vigintiduo= | ||
Commas: 50/49, 64/63, 245/243 | Commas: 50/49, 64/63, 245/243 | ||
POTE generator: ~11/8 = 557.563 | POTE generator: ~11/8 = 557.563 | ||
Map: [<22 35 51 62 0|, <0 0 0 0 1|] | Map: [<[[tel:22 35 51 62|22 35 51 62]] 0|, <0 0 0 0 1|] | ||
EDOs: 22, 66de, 88bde, 110bd, 198bcdde | EDOs: 22, 66de, 88bde, 110bd, 198bcdde | ||
Badness: 0.0484 | Badness: 0.0484 | ||
=Vigin= | =Vigin= | ||
Commas: 50/49, 55/54, 64/63, 99/98 | Commas: 50/49, 55/54, 64/63, 99/98 | ||
POTE generator: ~13/8 = 844.624 | POTE generator: ~13/8 = 844.624 | ||
Map: [<22 35 51 62 76 0|, <0 0 0 0 0 1|] | Map: [<[[tel:22 35 51 62 76|22 35 51 62 76]] 0|, <0 0 0 0 0 1|] | ||
EDOs: 22, 44 | EDOs: 22, 44 | ||
Badness: 0.0298 | Badness: 0.0298 | ||
=Duodecim= | =Duodecim= | ||
Commas: 36/35, 50/49, 64/63 | Commas: 36/35, 50/49, 64/63 | ||
POTE generator: ~11/8 = 565.023 | POTE generator: ~11/8 = 565.023 | ||
Map: [<12 19 28 34 0|, <0 0 0 0 1|] | Map: [<[[tel:12 19 28 34|12 19 28 34]] 0|, <0 0 0 0 1|] | ||
EDOs: 12, 24d, 36d | EDOs: 12, 24d, 36d | ||
Badness: 30.536 | Badness: 30.536 | ||
=Crepuscular= | =Crepuscular= | ||
Commas: 50/49, 4375/4374 | Commas: 50/49, 4375/4374 | ||
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Map: [<2 2 3 4|, <0 5 7 7|] | Map: [<2 2 3 4|, <0 5 7 7|] | ||
Wedgie: <<10 14 14 -1 -6 -7|| | Wedgie: <<[[tel:10 14 14 -1 -6|10 14 14 -1 -6]] -7|| | ||
EDOs: 26, 34d, 60d, 94d | EDOs: 26, 34d, 60d, 94d | ||
Badness: 0.0867 | Badness: 0.0867 | ||
==11-limit== | ==11-limit== | ||
Commas: 50/49, 99/98, 1944/1925 | Commas: 50/49, 99/98, 1944/1925 | ||
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Badness: 0.0408 | Badness: 0.0408 | ||
==13-limit== | ==13-limit== | ||
Commas: 50/49, 78/77, 99/98, 144/143 | Commas: 50/49, 78/77, 99/98, 144/143 | ||
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Badness: 0.0244 | Badness: 0.0244 | ||
=Bipyth= | =Bipyth= | ||
Commas: 50/49, 20480/19683 | Commas: 50/49, 20480/19683 | ||
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Map: [<2 0 -24 -23|, <0 1 9 9|] | Map: [<2 0 -24 -23|, <0 1 9 9|] | ||
Wedgie: <<2 18 18 24 23 -9|| | Wedgie: <<[[tel:2 18 18 24 23|2 18 18 24 23]] -9|| | ||
Badness: 0.1650 | Badness: 0.1650 | ||
==11-limit== | ==11-limit== | ||
Commas: 50/49, 121/120, 896/891 | Commas: 50/49, 121/120, 896/891 | ||
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Badness: 0.0709 | Badness: 0.0709 | ||
=Elvis= | =Elvis= | ||
Comma: 33554432/36905625 | Comma: [[tel:33554432/36905625|33554432/36905625]] | ||
POTE generator: ~45/32 = 554.546 | POTE generator: ~45/32 = 554.546 | ||
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Badness: 0.8840 | Badness: 0.8840 | ||
==7-limit== | ==7-limit== | ||
Commas: 50/49, 8505/8192 | Commas: 50/49, 8505/8192 | ||
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Badness: 0.1415 | Badness: 0.1415 | ||
==11-limit== | ==11-limit== | ||
Commas: 45/44, 50/49, 1344/1331 | Commas: 45/44, 50/49, 1344/1331 | ||
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Badness: 0.0632 | Badness: 0.0632 | ||
==13-limit== | ==13-limit== | ||
Commas: 45/44, 50/49, 78/77, 1053/1024 | Commas: 45/44, 50/49, 78/77, 1053/1024 | ||
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<!-- ws:end:WikiTextTocRule:77 --><!-- ws:start:WikiTextTocRule:78: --><div style="margin-left: 2em;"><a href="#Elvis-13-limit">13-limit</a></div> | <!-- ws:end:WikiTextTocRule:77 --><!-- ws:start:WikiTextTocRule:78: --><div style="margin-left: 2em;"><a href="#Elvis-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule:78 --><!-- ws:start:WikiTextTocRule:79: --></div> | <!-- ws:end:WikiTextTocRule:78 --><!-- ws:start:WikiTextTocRule:79: --></div> | ||
<!-- ws:end:WikiTextTocRule:79 --> | <!-- ws:end:WikiTextTocRule:79 -->The <strong>Jubilismic clan</strong> tempers out the jubilisma, <a class="wiki_link" href="/50_49">50/49</a>, which means <a class="wiki_link" href="/7_5">7/5</a> and <a class="wiki_link" href="/10_7">10/7</a> are identified and the <a class="wiki_link" href="/octave">octave</a> is divided in two. Doublewide, lemba and diminished are discussed below; others in the clan are pajara, decimal, injera, octokaidecal, hedgehog, bipelog and hexe, which are discussed elsewhere.<br /> | ||
The <strong>Jubilismic clan</strong> tempers out the jubilisma, <a class="wiki_link" href="/50_49">50/49</a>, which means <a class="wiki_link" href="/7_5">7/5</a> and <a class="wiki_link" href="/10_7">10/7</a> are identified and the <a class="wiki_link" href="/octave">octave</a> is divided in two. Doublewide lemba and diminished are discussed below; others in the clan are pajara, decimal, injera, octokaidecal, hedgehog, bipelog and hexe, which are discussed elsewhere.<br /> | |||
<br /> | <br /> | ||
No-threes <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 380.840<br /> | No-threes <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 380.840<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Diminished"></a><!-- ws:end:WikiTextHeadingRule:0 -->Diminished</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Diminished"></a><!-- ws:end:WikiTextHeadingRule:0 -->Diminished</h1> | ||
Commas: 36/35, 50/49<br /> | Commas: 36/35, 50/49<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~3/2 = 699.523<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~3/2 = 699.523<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Diminished-11-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Diminished-11-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit</h2> | ||
Commas: 36/35, 50/49, 56/55<br /> | Commas: 36/35, 50/49, 56/55<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~3/2 = 709.109<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~3/2 = 709.109<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Diminished-13-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->13-limit</h2> | <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Diminished-13-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->13-limit</h2> | ||
Commas: 36/35, 40/39, 50/49, 66/65<br /> | Commas: 36/35, 40/39, 50/49, 66/65<br /> | ||
<br /> | <br /> | ||
POTE generator: ~3/2 = 713.773<br /> | POTE generator: ~3/2 = 713.773<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Diminished-Demolished"></a><!-- ws:end:WikiTextHeadingRule:6 -->Demolished</h2> | <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Diminished-Demolished"></a><!-- ws:end:WikiTextHeadingRule:6 -->Demolished</h2> | ||
Commas: 36/35, 45/44, 50/49<br /> | Commas: 36/35, 45/44, 50/49<br /> | ||
<br /> | <br /> | ||
POTE generator: ~3/2 = 689.881<br /> | POTE generator: ~3/2 = 689.881<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Diminished-Hemidim"></a><!-- ws:end:WikiTextHeadingRule:8 -->Hemidim</h2> | <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Diminished-Hemidim"></a><!-- ws:end:WikiTextHeadingRule:8 -->Hemidim</h2> | ||
Commas: 36/35, 50/49, 125/121<br /> | Commas: 36/35, 50/49, 125/121<br /> | ||
<br /> | <br /> | ||
POTE generator: | POTE generator: ~12/11 = 101.679<br /> | ||
<br /> | <br /> | ||
Map: [&lt;4 1 4 6 6|, &lt;0 2 2 2 3|]<br /> | Map: [&lt;4 1 4 6 6|, &lt;0 2 2 2 3|]<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Doublewide"></a><!-- ws:end:WikiTextHeadingRule:10 -->Doublewide</h1> | <!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Doublewide"></a><!-- ws:end:WikiTextHeadingRule:10 -->Doublewide</h1> | ||
Commas: 50/49, 875/864<br /> | Commas: 50/49, 875/864<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~6/5 = 325.719<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~6/5 = 325.719<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Doublewide-11-limit"></a><!-- ws:end:WikiTextHeadingRule:12 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Doublewide-11-limit"></a><!-- ws:end:WikiTextHeadingRule:12 -->11-limit</h2> | ||
Commas: 50/49, 99/98, 875/864<br /> | Commas: 50/49, 99/98, 875/864<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~6/5 = 325.548<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~6/5 = 325.548<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="Doublewide-Fleetwood"></a><!-- ws:end:WikiTextHeadingRule:14 -->Fleetwood</h2> | <!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="Doublewide-Fleetwood"></a><!-- ws:end:WikiTextHeadingRule:14 -->Fleetwood</h2> | ||
Commas: 50/49, 55/54, 176/175<br /> | Commas: 50/49, 55/54, 176/175<br /> | ||
<br /> | <br /> | ||
POTE generator: ~6/5 = 327.038<br /> | POTE generator: ~6/5 = 327.038<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:16:&lt;h3&gt; --><h3 id="toc8"><a name="Doublewide-Fleetwood-13-limit"></a><!-- ws:end:WikiTextHeadingRule:16 -->13-limit</h3> | <!-- ws:start:WikiTextHeadingRule:16:&lt;h3&gt; --><h3 id="toc8"><a name="Doublewide-Fleetwood-13-limit"></a><!-- ws:end:WikiTextHeadingRule:16 -->13-limit</h3> | ||
Commas: 50/49, 55/54, 65/63, 176/175<br /> | Commas: 50/49, 55/54, 65/63, 176/175<br /> | ||
<br /> | <br /> | ||
POTE generator: ~6/5 = 327.841<br /> | POTE generator: ~6/5 = 327.841<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Doublewide-Cavalier"></a><!-- ws:end:WikiTextHeadingRule:18 -->Cavalier</h2> | <!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Doublewide-Cavalier"></a><!-- ws:end:WikiTextHeadingRule:18 -->Cavalier</h2> | ||
Commas: 45/44, 50/49, 875/864<br /> | Commas: 45/44, 50/49, 875/864<br /> | ||
<br /> | <br /> | ||
POTE generator: ~6/5 = 323.427<br /> | POTE generator: ~6/5 = 323.427<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:20:&lt;h3&gt; --><h3 id="toc10"><a name="Doublewide-Cavalier-13-limit"></a><!-- ws:end:WikiTextHeadingRule:20 -->13-limit</h3> | <!-- ws:start:WikiTextHeadingRule:20:&lt;h3&gt; --><h3 id="toc10"><a name="Doublewide-Cavalier-13-limit"></a><!-- ws:end:WikiTextHeadingRule:20 -->13-limit</h3> | ||
Commas: 45/44 50/49 78/77 325/324<br /> | Commas: [[tel:45/44 50/49 78|45/44 50/49 78]]/77 325/324<br /> | ||
<br /> | <br /> | ||
POTE generator: ~6/5 = 323.396<br /> | POTE generator: ~6/5 = 323.396<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc11"><a name="Lemba"></a><!-- ws:end:WikiTextHeadingRule:22 -->Lemba</h1> | <!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc11"><a name="Lemba"></a><!-- ws:end:WikiTextHeadingRule:22 -->Lemba</h1> | ||
Commas: 50/49, 525/512<br /> | Commas: 50/49, 525/512<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~8/7 = 232.089<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~8/7 = 232.089<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:24:&lt;h2&gt; --><h2 id="toc12"><a name="Lemba-11-limit"></a><!-- ws:end:WikiTextHeadingRule:24 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:24:&lt;h2&gt; --><h2 id="toc12"><a name="Lemba-11-limit"></a><!-- ws:end:WikiTextHeadingRule:24 -->11-limit</h2> | ||
Commas: 45/44, 50/49, 385/384<br /> | Commas: 45/44, 50/49, 385/384<br /> | ||
<br /> | <br /> | ||
POTE generator: ~8/7 = 230.974<br /> | POTE generator: ~8/7 = 230.974<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="Lemba-13-limit"></a><!-- ws:end:WikiTextHeadingRule:26 -->13-limit</h2> | <!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="Lemba-13-limit"></a><!-- ws:end:WikiTextHeadingRule:26 -->13-limit</h2> | ||
Commas: 45/44, 50/49, 65/64, 78/77<br /> | Commas: 45/44, 50/49, 65/64, 78/77<br /> | ||
<br /> | <br /> | ||
POTE generator: ~8/7 = 230.966<br /> | POTE generator: ~8/7 = 230.966<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:28:&lt;h1&gt; --><h1 id="toc14"><a name="Vigintiduo"></a><!-- ws:end:WikiTextHeadingRule:28 -->Vigintiduo</h1> | <!-- ws:start:WikiTextHeadingRule:28:&lt;h1&gt; --><h1 id="toc14"><a name="Vigintiduo"></a><!-- ws:end:WikiTextHeadingRule:28 -->Vigintiduo</h1> | ||
Commas: 50/49, 64/63, 245/243<br /> | Commas: 50/49, 64/63, 245/243<br /> | ||
<br /> | <br /> | ||
POTE generator: ~11/8 = 557.563<br /> | POTE generator: ~11/8 = 557.563<br /> | ||
<br /> | <br /> | ||
Map: [&lt;22 35 51 62 0|, &lt;0 0 0 0 1|]<br /> | Map: [&lt;<a class="wiki_link" href="http://tel.wikispaces.com/22%2035%2051%2062">22 35 51 62</a> 0|, &lt;0 0 0 0 1|]<br /> | ||
EDOs: 22, 66de, 88bde, 110bd, 198bcdde<br /> | EDOs: 22, 66de, 88bde, 110bd, 198bcdde<br /> | ||
Badness: 0.0484<br /> | Badness: 0.0484<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:30:&lt;h1&gt; --><h1 id="toc15"><a name="Vigin"></a><!-- ws:end:WikiTextHeadingRule:30 -->Vigin</h1> | <!-- ws:start:WikiTextHeadingRule:30:&lt;h1&gt; --><h1 id="toc15"><a name="Vigin"></a><!-- ws:end:WikiTextHeadingRule:30 -->Vigin</h1> | ||
Commas: 50/49, 55/54, 64/63, 99/98<br /> | Commas: 50/49, 55/54, 64/63, 99/98<br /> | ||
<br /> | <br /> | ||
POTE generator: ~13/8 = 844.624<br /> | POTE generator: ~13/8 = 844.624<br /> | ||
<br /> | <br /> | ||
Map: [&lt;22 35 51 62 76 0|, &lt;0 0 0 0 0 1|]<br /> | Map: [&lt;<a class="wiki_link" href="http://tel.wikispaces.com/22%2035%2051%2062%2076">22 35 51 62 76</a> 0|, &lt;0 0 0 0 0 1|]<br /> | ||
EDOs: 22, 44<br /> | EDOs: 22, 44<br /> | ||
Badness: 0.0298<br /> | Badness: 0.0298<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:32:&lt;h1&gt; --><h1 id="toc16"><a name="Duodecim"></a><!-- ws:end:WikiTextHeadingRule:32 -->Duodecim</h1> | <!-- ws:start:WikiTextHeadingRule:32:&lt;h1&gt; --><h1 id="toc16"><a name="Duodecim"></a><!-- ws:end:WikiTextHeadingRule:32 -->Duodecim</h1> | ||
Commas: 36/35, 50/49, 64/63<br /> | Commas: 36/35, 50/49, 64/63<br /> | ||
<br /> | <br /> | ||
POTE generator: ~11/8 = 565.023<br /> | POTE generator: ~11/8 = 565.023<br /> | ||
<br /> | <br /> | ||
Map: [&lt;12 19 28 34 0|, &lt;0 0 0 0 1|]<br /> | Map: [&lt;<a class="wiki_link" href="http://tel.wikispaces.com/12%2019%2028%2034">12 19 28 34</a> 0|, &lt;0 0 0 0 1|]<br /> | ||
EDOs: 12, 24d, 36d<br /> | EDOs: 12, 24d, 36d<br /> | ||
Badness: 30.536<br /> | Badness: 30.536<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:34:&lt;h1&gt; --><h1 id="toc17"><a name="Crepuscular"></a><!-- ws:end:WikiTextHeadingRule:34 -->Crepuscular</h1> | <!-- ws:start:WikiTextHeadingRule:34:&lt;h1&gt; --><h1 id="toc17"><a name="Crepuscular"></a><!-- ws:end:WikiTextHeadingRule:34 -->Crepuscular</h1> | ||
Commas: 50/49, 4375/4374<br /> | Commas: 50/49, 4375/4374<br /> | ||
<br /> | <br /> | ||
POTE generator: ~27/25 = 140.349<br /> | POTE generator: ~27/25 = 140.349<br /> | ||
<br /> | <br /> | ||
Map: [&lt;2 2 3 4|, &lt;0 5 7 7|]<br /> | Map: [&lt;2 2 3 4|, &lt;0 5 7 7|]<br /> | ||
Wedgie: &lt;&lt;10 14 14 -1 -6 -7||<br /> | Wedgie: &lt;&lt;<a class="wiki_link" href="http://tel.wikispaces.com/10%2014%2014%20-1%20-6">10 14 14 -1 -6</a> -7||<br /> | ||
EDOs: 26, 34d, 60d, 94d<br /> | EDOs: 26, 34d, 60d, 94d<br /> | ||
Badness: 0.0867<br /> | Badness: 0.0867<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:36:&lt;h2&gt; --><h2 id="toc18"><a name="Crepuscular-11-limit"></a><!-- ws:end:WikiTextHeadingRule:36 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:36:&lt;h2&gt; --><h2 id="toc18"><a name="Crepuscular-11-limit"></a><!-- ws:end:WikiTextHeadingRule:36 -->11-limit</h2> | ||
Commas: 50/49, 99/98, 1944/1925<br /> | Commas: 50/49, 99/98, 1944/1925<br /> | ||
<br /> | <br /> | ||
POTE generator: ~12/11 = 140.587<br /> | POTE generator: ~12/11 = 140.587<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="Crepuscular-13-limit"></a><!-- ws:end:WikiTextHeadingRule:38 -->13-limit</h2> | <!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="Crepuscular-13-limit"></a><!-- ws:end:WikiTextHeadingRule:38 -->13-limit</h2> | ||
Commas: 50/49, 78/77, 99/98, 144/143<br /> | Commas: 50/49, 78/77, 99/98, 144/143<br /> | ||
<br /> | <br /> | ||
POTE generator: ~12/11 = 140.554<br /> | POTE generator: ~12/11 = 140.554<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:40:&lt;h1&gt; --><h1 id="toc20"><a name="Bipyth"></a><!-- ws:end:WikiTextHeadingRule:40 -->Bipyth</h1> | <!-- ws:start:WikiTextHeadingRule:40:&lt;h1&gt; --><h1 id="toc20"><a name="Bipyth"></a><!-- ws:end:WikiTextHeadingRule:40 -->Bipyth</h1> | ||
Commas: 50/49, 20480/19683<br /> | Commas: 50/49, 20480/19683<br /> | ||
<br /> | <br /> | ||
POTE generator: ~3/2 = 709.437<br /> | POTE generator: ~3/2 = 709.437<br /> | ||
<br /> | <br /> | ||
Map: [&lt;2 0 -24 -23|, &lt;0 1 9 9|]<br /> | Map: [&lt;2 0 -24 -23|, &lt;0 1 9 9|]<br /> | ||
Wedgie: &lt;&lt;2 18 18 24 23 -9||<br /> | Wedgie: &lt;&lt;<a class="wiki_link" href="http://tel.wikispaces.com/2%2018%2018%2024%2023">2 18 18 24 23</a> -9||<br /> | ||
Badness: 0.1650<br /> | Badness: 0.1650<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:42:&lt;h2&gt; --><h2 id="toc21"><a name="Bipyth-11-limit"></a><!-- ws:end:WikiTextHeadingRule:42 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:42:&lt;h2&gt; --><h2 id="toc21"><a name="Bipyth-11-limit"></a><!-- ws:end:WikiTextHeadingRule:42 -->11-limit</h2> | ||
Commas: 50/49, 121/120, 896/891<br /> | Commas: 50/49, 121/120, 896/891<br /> | ||
<br /> | <br /> | ||
POTE generator: ~3/2 = 709.310<br /> | POTE generator: ~3/2 = 709.310<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:44:&lt;h1&gt; --><h1 id="toc22"><a name="Elvis"></a><!-- ws:end:WikiTextHeadingRule:44 -->Elvis</h1> | <!-- ws:start:WikiTextHeadingRule:44:&lt;h1&gt; --><h1 id="toc22"><a name="Elvis"></a><!-- ws:end:WikiTextHeadingRule:44 -->Elvis</h1> | ||
Comma: 33554432/36905625<br /> | Comma: [[tel:33554432/36905625|33554432/36905625]]<br /> | ||
<br /> | <br /> | ||
POTE generator: ~45/32 = 554.546<br /> | POTE generator: ~45/32 = 554.546<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:46:&lt;h2&gt; --><h2 id="toc23"><a name="Elvis-7-limit"></a><!-- ws:end:WikiTextHeadingRule:46 -->7-limit</h2> | <!-- ws:start:WikiTextHeadingRule:46:&lt;h2&gt; --><h2 id="toc23"><a name="Elvis-7-limit"></a><!-- ws:end:WikiTextHeadingRule:46 -->7-limit</h2> | ||
Commas: 50/49, 8505/8192<br /> | Commas: 50/49, 8505/8192<br /> | ||
<br /> | <br /> | ||
POTE generator: ~45/32 = 553.721<br /> | POTE generator: ~45/32 = 553.721<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:48:&lt;h2&gt; --><h2 id="toc24"><a name="Elvis-11-limit"></a><!-- ws:end:WikiTextHeadingRule:48 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:48:&lt;h2&gt; --><h2 id="toc24"><a name="Elvis-11-limit"></a><!-- ws:end:WikiTextHeadingRule:48 -->11-limit</h2> | ||
Commas: 45/44, 50/49, 1344/1331<br /> | Commas: 45/44, 50/49, 1344/1331<br /> | ||
<br /> | <br /> | ||
POTE generator: ~11/8 = 553.882<br /> | POTE generator: ~11/8 = 553.882<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:50:&lt;h2&gt; --><h2 id="toc25"><a name="Elvis-13-limit"></a><!-- ws:end:WikiTextHeadingRule:50 -->13-limit</h2> | <!-- ws:start:WikiTextHeadingRule:50:&lt;h2&gt; --><h2 id="toc25"><a name="Elvis-13-limit"></a><!-- ws:end:WikiTextHeadingRule:50 -->13-limit</h2> | ||
Commas: 45/44, 50/49, 78/77, 1053/1024<br /> | Commas: 45/44, 50/49, 78/77, 1053/1024<br /> | ||
<br /> | <br /> | ||
POTE generator: ~11/8 = 553.892<br /> | POTE generator: ~11/8 = 553.892<br /> | ||
Revision as of 12:00, 17 December 2016
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author JosephRuhf and made on 2016-12-17 12:00:05 UTC.
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Original Wikitext content:
[[toc]] The **Jubilismic clan** tempers out the jubilisma, [[50_49|50/49]], which means [[7_5|7/5]] and [[10_7|10/7]] are identified and the [[octave]] is divided in two. Doublewide, lemba and diminished are discussed below; others in the clan are pajara, decimal, injera, octokaidecal, hedgehog, bipelog and hexe, which are discussed elsewhere. No-threes [[POTE tuning|POTE generator]]: 380.840 No-threes map: [<2 0 1 1|, <0 0 1 1|] EDOs: [[10edo|10]], [[12edo|12]], [[16edo|16]], [[22edo|22]], [[104edo|104]] =Diminished= Commas: 36/35, 50/49 [[POTE tuning|POTE generator]]: ~3/2 = 699.523 Map: [<4 0 3 5|, <0 1 1 1|] EDOs: [[4edo|4]], [[12edo|12]] Badness: 0.0224 ==11-limit== Commas: 36/35, 50/49, 56/55 [[POTE tuning|POTE generator]]: ~3/2 = 709.109 Map: [<4 0 3 5 14|, <0 1 1 1 0|] EDOs: [[4edo|4]], [[8edo|8]], [[12edo|12]], [[44edo|44]] Badness: 0.0221 ==13-limit== Commas: 36/35, 40/39, 50/49, 66/65 POTE generator: ~3/2 = 713.773 Map: [<4 0 3 5 14 15|, <0 1 1 1 0 0|] EDOs: 4, 8d, 12f, 20cdef Badness: 0.0195 ==Demolished== Commas: 36/35, 45/44, 50/49 POTE generator: ~3/2 = 689.881 Map: [<4 0 3 5 -5|, <0 1 1 1 3|] EDOs: 12, 28, 40de Badness: 0.0266 ==Hemidim== Commas: 36/35, 50/49, 125/121 POTE generator: ~12/11 = 101.679 Map: [<4 1 4 6 6|, <0 2 2 2 3|] EDOs: 12, 20b Badness: 0.0550 =Doublewide= Commas: 50/49, 875/864 [[POTE tuning|POTE generator]]: ~6/5 = 325.719 Map: [<2 1 3 4|, <0 4 3 3|] EDOs: [[18edo|18]], [[22edo|22]], [[26edo]], [[48edo|48]], [[70edo|70c]] Badness: 0.0435 ==11-limit== Commas: 50/49, 99/98, 875/864 [[POTE tuning|POTE generator]]: ~6/5 = 325.548 Map: [<2 1 3 4 8|, <0 4 3 3 -2|] EDOs: [[18edo|18]], [[22edo|22]], [[48edo|48]], [[70edo|70c]], [[118edo|118cd]] Badness: 0.0321 ==Fleetwood== Commas: 50/49, 55/54, 176/175 POTE generator: ~6/5 = 327.038 Map: [<2 1 3 4 2|, <0 4 3 3 9|] EDOs: 22, 26e Badness: 0.0352 ===13-limit=== Commas: 50/49, 55/54, 65/63, 176/175 POTE generator: ~6/5 = 327.841 Map: [<2 1 3 4 2 3|, <0 4 3 3 9 8|] EDOs: 22, 84bdf Badness: 0.0318 ==Cavalier== Commas: 45/44, 50/49, 875/864 POTE generator: ~6/5 = 323.427 Map: [<2 1 3 4 1|, <0 4 3 3 11|] EDOs: 26 Badness: 0.0529 ===13-limit=== Commas: [[tel:45/44 50/49 78|45/44 50/49 78]]/77 325/324 POTE generator: ~6/5 = 323.396 Map: [<2 1 3 4 1 2|, <0 4 3 3 11 10|] EDOs: 26 Badness: 0.0350 =Lemba= Commas: 50/49, 525/512 [[POTE tuning|POTE generator]]: ~8/7 = 232.089 Map: [<2 2 5 6|, <0 3 -1 -1|] EDOs: [[10edo|10]], [[16edo|16]], [[26edo|26]], [[62edo|62]] Badness: 0.0622 ==11-limit== Commas: 45/44, 50/49, 385/384 POTE generator: ~8/7 = 230.974 Map: [<2 2 5 6 5|, <0 3 -1 -1 5|] EDOs: 10, 16, 26 Badness: 0.0416 ==13-limit== Commas: 45/44, 50/49, 65/64, 78/77 POTE generator: ~8/7 = 230.966 Map: [<2 2 5 6 5 7|, <0 3 -1 -1 5 1|] EDOs: 10, 16, 26 Badness: 0.0255 =Vigintiduo= Commas: 50/49, 64/63, 245/243 POTE generator: ~11/8 = 557.563 Map: [<[[tel:22 35 51 62|22 35 51 62]] 0|, <0 0 0 0 1|] EDOs: 22, 66de, 88bde, 110bd, 198bcdde Badness: 0.0484 =Vigin= Commas: 50/49, 55/54, 64/63, 99/98 POTE generator: ~13/8 = 844.624 Map: [<[[tel:22 35 51 62 76|22 35 51 62 76]] 0|, <0 0 0 0 0 1|] EDOs: 22, 44 Badness: 0.0298 =Duodecim= Commas: 36/35, 50/49, 64/63 POTE generator: ~11/8 = 565.023 Map: [<[[tel:12 19 28 34|12 19 28 34]] 0|, <0 0 0 0 1|] EDOs: 12, 24d, 36d Badness: 30.536 =Crepuscular= Commas: 50/49, 4375/4374 POTE generator: ~27/25 = 140.349 Map: [<2 2 3 4|, <0 5 7 7|] Wedgie: <<[[tel:10 14 14 -1 -6|10 14 14 -1 -6]] -7|| EDOs: 26, 34d, 60d, 94d Badness: 0.0867 ==11-limit== Commas: 50/49, 99/98, 1944/1925 POTE generator: ~12/11 = 140.587 Map: [<2 2 3 4 6|, <0 5 7 7 4|] EDOs: 26, 34d, 60d, 94de Badness: 0.0408 ==13-limit== Commas: 50/49, 78/77, 99/98, 144/143 POTE generator: ~12/11 = 140.554 Map: [<2 2 3 4 6 6|, <0 5 7 7 4 6|] EDOs: 26, 34d, 60d, 94de Badness: 0.0244 =Bipyth= Commas: 50/49, 20480/19683 POTE generator: ~3/2 = 709.437 Map: [<2 0 -24 -23|, <0 1 9 9|] Wedgie: <<[[tel:2 18 18 24 23|2 18 18 24 23]] -9|| Badness: 0.1650 ==11-limit== Commas: 50/49, 121/120, 896/891 POTE generator: ~3/2 = 709.310 Map: [<2 0 -24 -23 -9|, <0 1 9 9 5|] EDOs: 22 Badness: 0.0709 =Elvis= Comma: [[tel:33554432/36905625|33554432/36905625]] POTE generator: ~45/32 = 554.546 Map: [<2 1 10|, <0 2 -5|] EDOs: 24c, 26, 80bc, 106bc, 132bc Badness: 0.8840 ==7-limit== Commas: 50/49, 8505/8192 POTE generator: ~45/32 = 553.721 Map: [<2 1 10 11|, <0 2 -5 -5|] Wedgie: <<4 -10 -10 -25 -27 5|| EDOs: 24c, 26 Badness: 0.1415 ==11-limit== Commas: 45/44, 50/49, 1344/1331 POTE generator: ~11/8 = 553.882 Map: [<2 1 10 11 8|, <0 2 -5 -5 -1|] EDOs: 24c, 26 Badness: 0.0632 ==13-limit== Commas: 45/44, 50/49, 78/77, 1053/1024 POTE generator: ~11/8 = 553.892 Map: [<2 1 10 11 8 16|, <0 2 -5 -5 -1 -8|] EDOs: 26 Badness: 0.0440
Original HTML content:
<html><head><title>Jubilismic clan</title></head><body><!-- ws:start:WikiTextTocRule:52:<img id="wikitext@@toc@@normal" class="WikiMedia WikiMediaToc" title="Table of Contents" src="/site/embedthumbnail/toc/normal?w=225&h=100"/> --><div id="toc"><h1 class="nopad">Table of Contents</h1><!-- ws:end:WikiTextTocRule:52 --><!-- ws:start:WikiTextTocRule:53: --><div style="margin-left: 1em;"><a href="#Diminished">Diminished</a></div> <!-- ws:end:WikiTextTocRule:53 --><!-- ws:start:WikiTextTocRule:54: --><div style="margin-left: 2em;"><a href="#Diminished-11-limit">11-limit</a></div> <!-- ws:end:WikiTextTocRule:54 --><!-- ws:start:WikiTextTocRule:55: --><div style="margin-left: 2em;"><a href="#Diminished-13-limit">13-limit</a></div> <!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --><div style="margin-left: 2em;"><a href="#Diminished-Demolished">Demolished</a></div> <!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --><div style="margin-left: 2em;"><a href="#Diminished-Hemidim">Hemidim</a></div> <!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --><div style="margin-left: 1em;"><a href="#Doublewide">Doublewide</a></div> <!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --><div style="margin-left: 2em;"><a href="#Doublewide-11-limit">11-limit</a></div> <!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --><div style="margin-left: 2em;"><a href="#Doublewide-Fleetwood">Fleetwood</a></div> <!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --><div style="margin-left: 3em;"><a href="#Doublewide-Fleetwood-13-limit">13-limit</a></div> <!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --><div style="margin-left: 2em;"><a href="#Doublewide-Cavalier">Cavalier</a></div> <!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --><div style="margin-left: 3em;"><a href="#Doublewide-Cavalier-13-limit">13-limit</a></div> <!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: --><div style="margin-left: 1em;"><a href="#Lemba">Lemba</a></div> <!-- ws:end:WikiTextTocRule:64 --><!-- ws:start:WikiTextTocRule:65: --><div style="margin-left: 2em;"><a href="#Lemba-11-limit">11-limit</a></div> <!-- ws:end:WikiTextTocRule:65 --><!-- ws:start:WikiTextTocRule:66: --><div style="margin-left: 2em;"><a href="#Lemba-13-limit">13-limit</a></div> <!-- ws:end:WikiTextTocRule:66 --><!-- ws:start:WikiTextTocRule:67: --><div style="margin-left: 1em;"><a href="#Vigintiduo">Vigintiduo</a></div> <!-- ws:end:WikiTextTocRule:67 --><!-- ws:start:WikiTextTocRule:68: --><div style="margin-left: 1em;"><a href="#Vigin">Vigin</a></div> <!-- ws:end:WikiTextTocRule:68 --><!-- ws:start:WikiTextTocRule:69: --><div style="margin-left: 1em;"><a href="#Duodecim">Duodecim</a></div> <!-- ws:end:WikiTextTocRule:69 --><!-- ws:start:WikiTextTocRule:70: --><div style="margin-left: 1em;"><a href="#Crepuscular">Crepuscular</a></div> <!-- ws:end:WikiTextTocRule:70 --><!-- ws:start:WikiTextTocRule:71: --><div style="margin-left: 2em;"><a href="#Crepuscular-11-limit">11-limit</a></div> <!-- ws:end:WikiTextTocRule:71 --><!-- ws:start:WikiTextTocRule:72: --><div style="margin-left: 2em;"><a href="#Crepuscular-13-limit">13-limit</a></div> <!-- ws:end:WikiTextTocRule:72 --><!-- ws:start:WikiTextTocRule:73: --><div style="margin-left: 1em;"><a href="#Bipyth">Bipyth</a></div> <!-- ws:end:WikiTextTocRule:73 --><!-- ws:start:WikiTextTocRule:74: --><div style="margin-left: 2em;"><a href="#Bipyth-11-limit">11-limit</a></div> <!-- ws:end:WikiTextTocRule:74 --><!-- ws:start:WikiTextTocRule:75: --><div style="margin-left: 1em;"><a href="#Elvis">Elvis</a></div> <!-- ws:end:WikiTextTocRule:75 --><!-- ws:start:WikiTextTocRule:76: --><div style="margin-left: 2em;"><a href="#Elvis-7-limit">7-limit</a></div> <!-- ws:end:WikiTextTocRule:76 --><!-- ws:start:WikiTextTocRule:77: --><div style="margin-left: 2em;"><a href="#Elvis-11-limit">11-limit</a></div> <!-- ws:end:WikiTextTocRule:77 --><!-- ws:start:WikiTextTocRule:78: --><div style="margin-left: 2em;"><a href="#Elvis-13-limit">13-limit</a></div> <!-- ws:end:WikiTextTocRule:78 --><!-- ws:start:WikiTextTocRule:79: --></div> <!-- ws:end:WikiTextTocRule:79 -->The <strong>Jubilismic clan</strong> tempers out the jubilisma, <a class="wiki_link" href="/50_49">50/49</a>, which means <a class="wiki_link" href="/7_5">7/5</a> and <a class="wiki_link" href="/10_7">10/7</a> are identified and the <a class="wiki_link" href="/octave">octave</a> is divided in two. Doublewide, lemba and diminished are discussed below; others in the clan are pajara, decimal, injera, octokaidecal, hedgehog, bipelog and hexe, which are discussed elsewhere.<br /> <br /> No-threes <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 380.840<br /> <br /> No-threes map: [<2 0 1 1|, <0 0 1 1|]<br /> EDOs: <a class="wiki_link" href="/10edo">10</a>, <a class="wiki_link" href="/12edo">12</a>, <a class="wiki_link" href="/16edo">16</a>, <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/104edo">104</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Diminished"></a><!-- ws:end:WikiTextHeadingRule:0 -->Diminished</h1> Commas: 36/35, 50/49<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~3/2 = 699.523<br /> <br /> Map: [<4 0 3 5|, <0 1 1 1|]<br /> EDOs: <a class="wiki_link" href="/4edo">4</a>, <a class="wiki_link" href="/12edo">12</a><br /> Badness: 0.0224<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="Diminished-11-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit</h2> Commas: 36/35, 50/49, 56/55<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~3/2 = 709.109<br /> <br /> Map: [<4 0 3 5 14|, <0 1 1 1 0|]<br /> EDOs: <a class="wiki_link" href="/4edo">4</a>, <a class="wiki_link" href="/8edo">8</a>, <a class="wiki_link" href="/12edo">12</a>, <a class="wiki_link" href="/44edo">44</a><br /> Badness: 0.0221<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="Diminished-13-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->13-limit</h2> Commas: 36/35, 40/39, 50/49, 66/65<br /> <br /> POTE generator: ~3/2 = 713.773<br /> <br /> Map: [<4 0 3 5 14 15|, <0 1 1 1 0 0|]<br /> EDOs: 4, 8d, 12f, 20cdef<br /> Badness: 0.0195<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc3"><a name="Diminished-Demolished"></a><!-- ws:end:WikiTextHeadingRule:6 -->Demolished</h2> Commas: 36/35, 45/44, 50/49<br /> <br /> POTE generator: ~3/2 = 689.881<br /> <br /> Map: [<4 0 3 5 -5|, <0 1 1 1 3|]<br /> EDOs: 12, 28, 40de<br /> Badness: 0.0266<br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h2> --><h2 id="toc4"><a name="Diminished-Hemidim"></a><!-- ws:end:WikiTextHeadingRule:8 -->Hemidim</h2> Commas: 36/35, 50/49, 125/121<br /> <br /> POTE generator: ~12/11 = 101.679<br /> <br /> Map: [<4 1 4 6 6|, <0 2 2 2 3|]<br /> EDOs: 12, 20b<br /> Badness: 0.0550<br /> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h1> --><h1 id="toc5"><a name="Doublewide"></a><!-- ws:end:WikiTextHeadingRule:10 -->Doublewide</h1> Commas: 50/49, 875/864<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~6/5 = 325.719<br /> <br /> Map: [<2 1 3 4|, <0 4 3 3|]<br /> EDOs: <a class="wiki_link" href="/18edo">18</a>, <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/26edo">26edo</a>, <a class="wiki_link" href="/48edo">48</a>, <a class="wiki_link" href="/70edo">70c</a><br /> Badness: 0.0435<br /> <br /> <!-- ws:start:WikiTextHeadingRule:12:<h2> --><h2 id="toc6"><a name="Doublewide-11-limit"></a><!-- ws:end:WikiTextHeadingRule:12 -->11-limit</h2> Commas: 50/49, 99/98, 875/864<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~6/5 = 325.548<br /> <br /> Map: [<2 1 3 4 8|, <0 4 3 3 -2|]<br /> EDOs: <a class="wiki_link" href="/18edo">18</a>, <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/48edo">48</a>, <a class="wiki_link" href="/70edo">70c</a>, <a class="wiki_link" href="/118edo">118cd</a><br /> Badness: 0.0321<br /> <br /> <!-- ws:start:WikiTextHeadingRule:14:<h2> --><h2 id="toc7"><a name="Doublewide-Fleetwood"></a><!-- ws:end:WikiTextHeadingRule:14 -->Fleetwood</h2> Commas: 50/49, 55/54, 176/175<br /> <br /> POTE generator: ~6/5 = 327.038<br /> <br /> Map: [<2 1 3 4 2|, <0 4 3 3 9|]<br /> EDOs: 22, 26e<br /> Badness: 0.0352<br /> <br /> <!-- ws:start:WikiTextHeadingRule:16:<h3> --><h3 id="toc8"><a name="Doublewide-Fleetwood-13-limit"></a><!-- ws:end:WikiTextHeadingRule:16 -->13-limit</h3> Commas: 50/49, 55/54, 65/63, 176/175<br /> <br /> POTE generator: ~6/5 = 327.841<br /> <br /> Map: [<2 1 3 4 2 3|, <0 4 3 3 9 8|]<br /> EDOs: 22, 84bdf<br /> Badness: 0.0318<br /> <br /> <!-- ws:start:WikiTextHeadingRule:18:<h2> --><h2 id="toc9"><a name="Doublewide-Cavalier"></a><!-- ws:end:WikiTextHeadingRule:18 -->Cavalier</h2> Commas: 45/44, 50/49, 875/864<br /> <br /> POTE generator: ~6/5 = 323.427<br /> <br /> Map: [<2 1 3 4 1|, <0 4 3 3 11|]<br /> EDOs: 26<br /> Badness: 0.0529<br /> <br /> <!-- ws:start:WikiTextHeadingRule:20:<h3> --><h3 id="toc10"><a name="Doublewide-Cavalier-13-limit"></a><!-- ws:end:WikiTextHeadingRule:20 -->13-limit</h3> Commas: [[tel:45/44 50/49 78|45/44 50/49 78]]/77 325/324<br /> <br /> POTE generator: ~6/5 = 323.396<br /> <br /> Map: [<2 1 3 4 1 2|, <0 4 3 3 11 10|]<br /> EDOs: 26<br /> Badness: 0.0350<br /> <br /> <!-- ws:start:WikiTextHeadingRule:22:<h1> --><h1 id="toc11"><a name="Lemba"></a><!-- ws:end:WikiTextHeadingRule:22 -->Lemba</h1> Commas: 50/49, 525/512<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~8/7 = 232.089<br /> <br /> Map: [<2 2 5 6|, <0 3 -1 -1|]<br /> EDOs: <a class="wiki_link" href="/10edo">10</a>, <a class="wiki_link" href="/16edo">16</a>, <a class="wiki_link" href="/26edo">26</a>, <a class="wiki_link" href="/62edo">62</a><br /> Badness: 0.0622<br /> <br /> <!-- ws:start:WikiTextHeadingRule:24:<h2> --><h2 id="toc12"><a name="Lemba-11-limit"></a><!-- ws:end:WikiTextHeadingRule:24 -->11-limit</h2> Commas: 45/44, 50/49, 385/384<br /> <br /> POTE generator: ~8/7 = 230.974<br /> <br /> Map: [<2 2 5 6 5|, <0 3 -1 -1 5|]<br /> EDOs: 10, 16, 26<br /> Badness: 0.0416<br /> <br /> <!-- ws:start:WikiTextHeadingRule:26:<h2> --><h2 id="toc13"><a name="Lemba-13-limit"></a><!-- ws:end:WikiTextHeadingRule:26 -->13-limit</h2> Commas: 45/44, 50/49, 65/64, 78/77<br /> <br /> POTE generator: ~8/7 = 230.966<br /> <br /> Map: [<2 2 5 6 5 7|, <0 3 -1 -1 5 1|]<br /> EDOs: 10, 16, 26<br /> Badness: 0.0255<br /> <br /> <!-- ws:start:WikiTextHeadingRule:28:<h1> --><h1 id="toc14"><a name="Vigintiduo"></a><!-- ws:end:WikiTextHeadingRule:28 -->Vigintiduo</h1> Commas: 50/49, 64/63, 245/243<br /> <br /> POTE generator: ~11/8 = 557.563<br /> <br /> Map: [<<a class="wiki_link" href="http://tel.wikispaces.com/22%2035%2051%2062">22 35 51 62</a> 0|, <0 0 0 0 1|]<br /> EDOs: 22, 66de, 88bde, 110bd, 198bcdde<br /> Badness: 0.0484<br /> <br /> <!-- ws:start:WikiTextHeadingRule:30:<h1> --><h1 id="toc15"><a name="Vigin"></a><!-- ws:end:WikiTextHeadingRule:30 -->Vigin</h1> Commas: 50/49, 55/54, 64/63, 99/98<br /> <br /> POTE generator: ~13/8 = 844.624<br /> <br /> Map: [<<a class="wiki_link" href="http://tel.wikispaces.com/22%2035%2051%2062%2076">22 35 51 62 76</a> 0|, <0 0 0 0 0 1|]<br /> EDOs: 22, 44<br /> Badness: 0.0298<br /> <br /> <!-- ws:start:WikiTextHeadingRule:32:<h1> --><h1 id="toc16"><a name="Duodecim"></a><!-- ws:end:WikiTextHeadingRule:32 -->Duodecim</h1> Commas: 36/35, 50/49, 64/63<br /> <br /> POTE generator: ~11/8 = 565.023<br /> <br /> Map: [<<a class="wiki_link" href="http://tel.wikispaces.com/12%2019%2028%2034">12 19 28 34</a> 0|, <0 0 0 0 1|]<br /> EDOs: 12, 24d, 36d<br /> Badness: 30.536<br /> <br /> <!-- ws:start:WikiTextHeadingRule:34:<h1> --><h1 id="toc17"><a name="Crepuscular"></a><!-- ws:end:WikiTextHeadingRule:34 -->Crepuscular</h1> Commas: 50/49, 4375/4374<br /> <br /> POTE generator: ~27/25 = 140.349<br /> <br /> Map: [<2 2 3 4|, <0 5 7 7|]<br /> Wedgie: <<<a class="wiki_link" href="http://tel.wikispaces.com/10%2014%2014%20-1%20-6">10 14 14 -1 -6</a> -7||<br /> EDOs: 26, 34d, 60d, 94d<br /> Badness: 0.0867<br /> <br /> <!-- ws:start:WikiTextHeadingRule:36:<h2> --><h2 id="toc18"><a name="Crepuscular-11-limit"></a><!-- ws:end:WikiTextHeadingRule:36 -->11-limit</h2> Commas: 50/49, 99/98, 1944/1925<br /> <br /> POTE generator: ~12/11 = 140.587<br /> <br /> Map: [<2 2 3 4 6|, <0 5 7 7 4|]<br /> EDOs: 26, 34d, 60d, 94de<br /> Badness: 0.0408<br /> <br /> <!-- ws:start:WikiTextHeadingRule:38:<h2> --><h2 id="toc19"><a name="Crepuscular-13-limit"></a><!-- ws:end:WikiTextHeadingRule:38 -->13-limit</h2> Commas: 50/49, 78/77, 99/98, 144/143<br /> <br /> POTE generator: ~12/11 = 140.554<br /> <br /> Map: [<2 2 3 4 6 6|, <0 5 7 7 4 6|]<br /> EDOs: 26, 34d, 60d, 94de<br /> Badness: 0.0244<br /> <br /> <!-- ws:start:WikiTextHeadingRule:40:<h1> --><h1 id="toc20"><a name="Bipyth"></a><!-- ws:end:WikiTextHeadingRule:40 -->Bipyth</h1> Commas: 50/49, 20480/19683<br /> <br /> POTE generator: ~3/2 = 709.437<br /> <br /> Map: [<2 0 -24 -23|, <0 1 9 9|]<br /> Wedgie: <<<a class="wiki_link" href="http://tel.wikispaces.com/2%2018%2018%2024%2023">2 18 18 24 23</a> -9||<br /> Badness: 0.1650<br /> <br /> <!-- ws:start:WikiTextHeadingRule:42:<h2> --><h2 id="toc21"><a name="Bipyth-11-limit"></a><!-- ws:end:WikiTextHeadingRule:42 -->11-limit</h2> Commas: 50/49, 121/120, 896/891<br /> <br /> POTE generator: ~3/2 = 709.310<br /> <br /> Map: [<2 0 -24 -23 -9|, <0 1 9 9 5|]<br /> EDOs: 22<br /> Badness: 0.0709<br /> <br /> <!-- ws:start:WikiTextHeadingRule:44:<h1> --><h1 id="toc22"><a name="Elvis"></a><!-- ws:end:WikiTextHeadingRule:44 -->Elvis</h1> Comma: [[tel:33554432/36905625|33554432/36905625]]<br /> <br /> POTE generator: ~45/32 = 554.546<br /> <br /> Map: [<2 1 10|, <0 2 -5|]<br /> EDOs: 24c, 26, 80bc, 106bc, 132bc<br /> Badness: 0.8840<br /> <br /> <!-- ws:start:WikiTextHeadingRule:46:<h2> --><h2 id="toc23"><a name="Elvis-7-limit"></a><!-- ws:end:WikiTextHeadingRule:46 -->7-limit</h2> Commas: 50/49, 8505/8192<br /> <br /> POTE generator: ~45/32 = 553.721<br /> <br /> Map: [<2 1 10 11|, <0 2 -5 -5|]<br /> Wedgie: <<4 -10 -10 -25 -27 5||<br /> EDOs: 24c, 26<br /> Badness: 0.1415<br /> <br /> <!-- ws:start:WikiTextHeadingRule:48:<h2> --><h2 id="toc24"><a name="Elvis-11-limit"></a><!-- ws:end:WikiTextHeadingRule:48 -->11-limit</h2> Commas: 45/44, 50/49, 1344/1331<br /> <br /> POTE generator: ~11/8 = 553.882<br /> <br /> Map: [<2 1 10 11 8|, <0 2 -5 -5 -1|]<br /> EDOs: 24c, 26<br /> Badness: 0.0632<br /> <br /> <!-- ws:start:WikiTextHeadingRule:50:<h2> --><h2 id="toc25"><a name="Elvis-13-limit"></a><!-- ws:end:WikiTextHeadingRule:50 -->13-limit</h2> Commas: 45/44, 50/49, 78/77, 1053/1024<br /> <br /> POTE generator: ~11/8 = 553.892<br /> <br /> Map: [<2 1 10 11 8 16|, <0 2 -5 -5 -1 -8|]<br /> EDOs: 26<br /> Badness: 0.0440</body></html>